Andreev bound states (ABSs) in hybrid semiconductor-superconductor nanowires can have near-zero energy in parameter regions where band topology predicts trivial phases. This surprising fact has been used to challenge the interpretation of a number of transport experiments in terms of non-trivial ...
This work shows an interplay between topology and non-Hermiticity by means of nonlinear optics, and it provides a way of manipulating multiple phase transitions at high speeds that is applicable to many other materials with strong nonlinearities, which could promote the development of unconventionally ...
Understanding the interplay of non-Hermiticity and topology is crucial given the intrinsic openness of most natural and engineered systems and it has important ramifications in topological lasers and sensors. Intense efforts have been devoted to unveiling how non-Hermiticity may impact the most significan...
As light can mediate interactions between atoms in a photonic environment, engineering it for endowing the photon-mediated Hamiltonian with desired features, like robustness against disorder, is crucial in quantum research. We provide general theorems on the topology of photon-mediated interactions in ...
The bulk-boundary correspondence is crucial to topological insulators. It associates the existence of boundary states (with zero energy and possessing chiral or helical properties) with the topological numbers defined in bulk. In recent years, topology has been extended to non-hermitian systems, openin...
Moreover, the definition of bandgap in non-Hermitian topology also needs discussion. The non-Hermitian bandgaps, i.e., the vacant regions in the complex plane, may have various geometries. There are different kinds of bandgaps and they are closely related to the topological analyzation. If a...
The band degeneracy, either the exceptional point of a non-Hermitian system or the Dirac point associated with a topological system, can feature distinct symmetry and topology. Their synergy will further produce more exotic topological effects in synthetic matter.DOI...
possible to observe real-time and real-space dynam-ics. Another merit is that topological photonics has opened anew f i eld of topological physics, i.e., non-Hermitian topology,nonlinear topology, and their combination. Non-Hermitianeffects are introduced by a loss and a gain of photons. On...
The introduction of topology in condensed-matter physicslead to the discovery of topological phase transitions and materials as topological insulators. Phase transitions in the symmetry of non-Hermitian systems describe the transition to on-average conserved energyand new topological phases. Bulk ...
The topological classification of energy bands has laid the groundwork for the discovery of various topological phases of matter in recent decades. While this classification has traditionally focused on real-energy bands, recent studies have revealed the intriguing topology of complex-energy, or non-H...